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Finding the Third Proportional to 10,689 and 14,266.50

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Solution

The third proportional to 10,689 and 14,266.50 is: 19,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689 : 14,266.50 = 14,266.50 : x
  2. Step 2: Convert to fraction form
    10,689/14,266.50 = 14,266.50/x
  3. Step 3: Cross multiply
    10,689x = 14,266.50 × 14,266.50
  4. Step 4: Simplify right side
    10,689x = 203,533,022.25
  5. Step 5: Solve for x
    x = 203,533,022.25/10,689
  6. Step 6: Final answer
    x = 19,041.35

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.